word problem

The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what lemgth should it be shortened to achieve a 1 second period? My answer is 3 feet but I'm not sure. Thanks for checking this problem.

The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what lemgth should it be shortened to achieve a 1 second period? My answer is 3 feet but I'm not sure. Thanks for checking this problem.